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142110540 = 2232511135521
BaseRepresentation
bin10000111100001…
…10111101001100
3100220101222000100
420132012331030
5242340014130
622033531100
73343630305
oct1036067514
9326358010
10142110540
1173243830
123b713a90
1323598ba0
1414c337ac
15c721c60
hex8786f4c

142110540 has 144 divisors (see below), whose sum is σ = 506522016. Its totient is φ = 31795200.

The previous prime is 142110533. The next prime is 142110569. The reversal of 142110540 is 45011241.

142110540 is a `hidden beast` number, since 14 + 2 + 110 + 540 = 666.

142110540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22980 + ... + 28500.

It is an arithmetic number, because the mean of its divisors is an integer number (3517514).

Almost surely, 2142110540 is an apocalyptic number.

142110540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142110540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253261008).

142110540 is an abundant number, since it is smaller than the sum of its proper divisors (364411476).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

142110540 is a wasteful number, since it uses less digits than its factorization.

142110540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5560 (or 5555 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 142110540 is about 11921.0125408876. The cubic root of 142110540 is about 521.8456847769.

Adding to 142110540 its reverse (45011241), we get a palindrome (187121781).

The spelling of 142110540 in words is "one hundred forty-two million, one hundred ten thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 13 15 18 20 22 26 30 33 36 39 44 45 52 55 60 65 66 78 90 99 110 117 130 132 143 156 165 180 195 198 220 234 260 286 330 390 396 429 468 495 572 585 660 715 780 858 990 1170 1287 1430 1716 1980 2145 2340 2574 2860 4290 5148 5521 6435 8580 11042 12870 16563 22084 25740 27605 33126 49689 55210 60731 66252 71773 82815 99378 110420 121462 143546 165630 182193 198756 215319 242924 248445 287092 303655 331260 358865 364386 430638 496890 546579 607310 645957 717730 728772 789503 861276 910965 993780 1076595 1093158 1214620 1291914 1435460 1579006 1821930 2153190 2186316 2368509 2583828 2732895 3158012 3229785 3643860 3947515 4306380 4737018 5465790 6459570 7105527 7895030 9474036 10931580 11842545 12919140 14211054 15790060 23685090 28422108 35527635 47370180 71055270 142110540